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Absorbing Markov chain : ウィキペディア英語版
Absorbing Markov chain

In the mathematical theory of probability, an absorbing Markov chain is a Markov chain in which every state can reach an absorbing state. An absorbing state is a state that, once entered, cannot be left.
Like general Markov chains, there can be continuous-time absorbing Markov chains with an infinite state space. However, this article concentrates on the discrete-time discrete-state-space case.
==Formal definition==
A Markov chain is an absorbing chain if〔〔
# there is at least one absorbing state and
# it is possible to go from any state to at least one absorbing state in a finite number of steps.
In an absorbing Markov chain, a state that is not absorbing is called transient.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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